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Proof without Words: Comparing \(B^A\) and \(A^B\) for \(A < B\)

by Charles D. Gallant (St. Francis Xavier University, Canada)

This article originally appeared in:
Mathematics Magazine
February, 1996

Subject classification(s): Algebra and Number Theory | Algebra | Inequalities | Geometry and Topology | Geometric Proof | Numbers and Computation | Arithmetic | Comparison of numbers
Applicable Course(s): 2.1 College Algebra | 3.1 Mainstream Calculus I | 4.1 Introduction to Proofs

The author proves an inequality about BA and AB visually.

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